Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 3515895041] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1192 geometric_solution 5.07908004 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239192831464 0.995908090128 3 2 4 0 0132 3012 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.018802128537 1.238204691460 1 3 0 4 1230 2310 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.018802128537 1.238204691460 1 3 3 2 0132 1230 3012 3201 0 0 0 0 0 -1 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.987090693629 0.616092358145 2 5 5 1 3201 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197226424291 0.207614002060 6 4 4 6 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.504045817867 1.017416581475 5 6 6 5 0132 1230 3012 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.764573010258 0.201786758802 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0011_1']), 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : negation(d['c_0011_1']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 14028934/1830983*c_0101_6^8 - 9111005/1830983*c_0101_6^7 + 3058604/1830983*c_0101_6^6 - 43274907/1830983*c_0101_6^5 - 265402276/1830983*c_0101_6^4 - 1669571/23177*c_0101_6^3 + 1552877/1830983*c_0101_6^2 + 9988310/166453*c_0101_6 - 38809730/1830983, c_0011_0 - 1, c_0011_1 + 432/23779*c_0101_6^8 - 80/23779*c_0101_6^7 - 3428/23779*c_0101_6^6 + 1836/23779*c_0101_6^5 + 6464/23779*c_0101_6^4 - 199/301*c_0101_6^3 - 50528/23779*c_0101_6^2 + 64/23779*c_0101_6 - 11525/23779, c_0011_4 + 8826/23779*c_0101_6^8 + 8934/23779*c_0101_6^7 - 20/23779*c_0101_6^6 + 25621/23779*c_0101_6^5 + 176979/23779*c_0101_6^4 + 1808/301*c_0101_6^3 + 16603/23779*c_0101_6^2 - 83240/23779*c_0101_6 - 23763/23779, c_0101_0 - 11930/23779*c_0101_6^8 - 11882/23779*c_0101_6^7 - 2651/23779*c_0101_6^6 - 38813/23779*c_0101_6^5 - 238396/23779*c_0101_6^4 - 2474/301*c_0101_6^3 - 90379/23779*c_0101_6^2 + 47552/23779*c_0101_6 - 2635/23779, c_0101_1 - 15385/23779*c_0101_6^8 - 14765/23779*c_0101_6^7 + 3408/23779*c_0101_6^6 - 47552/23779*c_0101_6^5 - 305065/23779*c_0101_6^4 - 2809/301*c_0101_6^3 - 4206/23779*c_0101_6^2 + 106928/23779*c_0101_6 + 11541/23779, c_0101_5 + 2651/23779*c_0101_6^8 + 5674/23779*c_0101_6^7 + 2963/23779*c_0101_6^6 + 5322/23779*c_0101_6^5 + 59923/23779*c_0101_6^4 + 1299/301*c_0101_6^3 + 50139/23779*c_0101_6^2 - 56853/23779*c_0101_6 - 35661/23779, c_0101_6^9 + c_0101_6^8 + 3*c_0101_6^6 + 20*c_0101_6^5 + 16*c_0101_6^4 + 3*c_0101_6^3 - 8*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB